My First Formula!

I was just 17 years old when I created and proved this formula!
This formula is unique—you won’t find it anywhere else!
(And yes, I can prove it!)

About the Formula

This formula is used to determine if a number between
[ $P_n$# - $P_{n+1}^2$ , $P_n$# + $P_{n+1}^2$ ]

is not a prime number.

How it works:
- If the formula indicates that the number is not prime, then it is definitely not a prime.
- However, if the result suggests it is prime, there’s no absolute certainty—it is probably a prime, but further verification is needed.

This method provides a highly efficient way to narrow down candidates for primality testing, making it a valuable tool for analyzing large numbers.